Metamath Proof Explorer


Theorem dp2eq1

Description: Equality theorem for the decimal expansion constructor. (Contributed by David A. Wheeler, 15-May-2015)

Ref Expression
Assertion dp2eq1 Could not format assertion : No typesetting found for |- ( A = B -> _ A C = _ B C ) with typecode |-

Proof

Step Hyp Ref Expression
1 oveq1 A = B A + C 10 = B + C 10
2 df-dp2 Could not format _ A C = ( A + ( C / ; 1 0 ) ) : No typesetting found for |- _ A C = ( A + ( C / ; 1 0 ) ) with typecode |-
3 df-dp2 Could not format _ B C = ( B + ( C / ; 1 0 ) ) : No typesetting found for |- _ B C = ( B + ( C / ; 1 0 ) ) with typecode |-
4 1 2 3 3eqtr4g Could not format ( A = B -> _ A C = _ B C ) : No typesetting found for |- ( A = B -> _ A C = _ B C ) with typecode |-